Question

1. f(x)= 3x^2-4x+3, hitunglah (f(x+h)-f(x))/h.
2. tentukan f(x) jika g(x) = 3-2x dan (f • g)(x) = 11-16x!
temen-temen tolong dibantu jawab soal ini makasii..

Answer 1

1. f(x ) = 3x² - 4x + 3
f(x+h) = 3(x+h)² - 4(x+h) + 3
f(x+h) = 3(x² +2hx +h²) - 4x - 4h + 3
f(x+h) = 3x² + 6 hx + 3h² - 4x - 4h + 3
.
f(x+h) - f(x) / (h) =
= (3x² + 6hx + 3h² - 4x - 4h + 3 - 3x² + 4x - 3) / (h)
= (3h² + 6hx - 4h)/h
= h(3h + 6x - 4) /h
= 3h + 6x - 4
.
2) jika fog(x) = 11- 16x
f(3-2x) = 11 - 16x
misal 3-2x = a
2x = 3 - a
x = 3/2 - 1/2 a

f(a) = 11 - 16(3/2 - 1/2 a)
f(a) = 11 - 24 + 8a
f(a) = 8a - 13

f(x) = 8x - 13